Joel Franklin is a portfolio manager responsible for derivatives. Franklin observes an American style option and a European-style option with the same strike price, expiration, and underlying stock. Franklin believes that the European-style option will have a higher premium than the American-style option.
a. Critique Franklin’s belief that the European-style option will have a higher premium. Franklin is asked to value a 1-year European-style call option for Abaco Ltd. common stock, which last traded at $43.00. He has collected the information in the following table.
Closing stock price
$43.00
Call and put option exercise price
45.00
1-year put option price
4.00
1-year Treasury bill rate
5.50%
Time to expiration
One year
b. Calculate, using put-call parity and the information provided in the table, the European-style call option value.
c. State the effect, if any, of each of the following three variables on the value of a call option.
(No calculations required.)
i. An increase in short-term interest rate.
ii. An increase in stock price volatility.
iii. A decrease in time to option expiration.